Details

Time bar (total: 17.1s)

sample36.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms263×body80nan

simplify22.0ms

Counts
1 → 1
Iterations
IterNodes
done42
442
341
232
121
011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y z) x)
1.4b
(+ (* z y) (* (+ y z) x))
19.3b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-*l*
3×flip3-+ associate-*r* sqrt-prod flip-+
2×sqrt-div associate-*l/
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 47
Calls
3 calls:
17.0ms
(* (+ y z) x)
7.0ms
(+ (* z y) (* (+ y z) x))
7.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (+ y z) x)
35.0ms
(+ (* z y) (* (+ y z) x))
121.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.5s

Counts
56 → 56
Iterations
IterNodes
done5002
33278
2769
1254
097

prune372.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 20.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
1.4b
(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
19.3b
(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×cbrt-prod add-sqr-sqrt
7×add-cube-cbrt
6×add-log-exp
5×pow1
4×cbrt-div flip3-+ add-cbrt-cube add-exp-log flip-+
3×sqrt-prod
2×pow1/3 sqrt-div distribute-lft-out
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
6.0ms
(cbrt (+ y z))
6.0ms
(cbrt (+ y z))
22.0ms
(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
13.0ms
(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

series698.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (+ y z))
199.0ms
(cbrt (+ y z))
82.0ms
(+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x)))
213.0ms
(sqrt (+ (* z y) (* (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) x))))

simplify3.1s

Counts
66 → 66
Iterations
IterNodes
done5002
33792
2988
1295
0116

prune516.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 20.0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* z y) (* (+ y z) x))
1.4b
(+ (* z y) (* (+ y z) x))
19.3b
(sqrt (+ (* z y) (* (+ y z) x)))
19.3b
(sqrt (+ (* z y) (* (+ y z) x)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+
2×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 52
Calls
4 calls:
14.0ms
(+ (* z y) (* (+ y z) x))
13.0ms
(+ (* z y) (* (+ y z) x))
11.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
12.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* z y) (* (+ y z) x))
32.0ms
(+ (* z y) (* (+ y z) x))
124.0ms
(sqrt (+ (* z y) (* (+ y z) x)))
132.0ms
(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.2s

Counts
64 → 64
Iterations
IterNodes
done5001
33233
2682
1180
064

prune616.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 20.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
19.3b
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×cbrt-prod add-log-exp
5×pow1
4×add-cbrt-cube add-exp-log
3×sqrt-prod
2×flip3-+ pow1/3 sqrt-div flip-+
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
6.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series792.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt x)
279.0ms
(cbrt x)
78.0ms
(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
152.0ms
(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify2.5s

Counts
60 → 60
Iterations
IterNodes
done5000
33488
2718
1225
087

prune355.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 20.0b

regimes396.0ms

Accuracy

0% (0.3b remaining)

Error of 19.6b against oracle of 19.2b and baseline of 19.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s7863×body80nan
567.0ms8000×body80valid